What is #\sin (\frac{5}{6}\pi )#?

Question

751 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-25T14:37:23

#sin(5pi/6)=sin(pi-pi/6)=sin(pi/6)=1/2#.

Answer 2 · 2018-02-25T14:39:40

#1/2#

#(5pi)/6# is in quadrant II

Its supplementary angle in quadrant I is:

#pi-(5pi)/6=pi/6#

#(5pi)/6 and pi/6# have the same ratio:

#sin(pi-pi/6)=1/2#

So:

#sin((5pi)/6)=1/2#